The generator matrix

 1  0  0  1  1  1 10  2  1  1  1  1 14 12  1  1 12  1  4  1  6  1  1  4 10 10  1  1 10  1  1 14  6  1  1  1  6  1 12  8  1  1  4  1 10  1  1  1  8  1  1  1  1  1 10  1 14  1  6  8
 0  1  0  0  5 13  1  6  1  9  4  4  1  1 14  3  1 10 14 15  1 15 11  1  1  0 14  6  1  5  0  1  8 15  8 11  1 11 12 10 10  8  1  7  1 13 10  9  1  5  6  9  3  4  0 14  1  7  1  6
 0  0  1 11  7  4  7  1  1  2  6 13  6  5  5  1 15  6  1 12  0 10  3 14  1  1  7  8 15 13  8 10  1 14  1  3  5 12  1  1  5 10 12 12  8 10  2  3  6 12  2  2 14  7  1 12  2  3 15  1
 0  0  0 12 12  0 12  4  0 12  4  8  4  0 12 12  4  0  4  4  8  0  8  8 12  8  0  8  0  4  4 12 12  8  4  4  0 12 12  0  8  8 12  0  4  4 12  4  4  4  4  0 12 12  0 12  8 12  4  4

generates a code of length 60 over Z16 who´s minimum homogenous weight is 55.

Homogenous weight enumerator: w(x)=1x^0+502x^55+954x^56+1632x^57+2180x^58+2214x^59+1996x^60+2188x^61+1804x^62+1296x^63+771x^64+448x^65+164x^66+128x^67+52x^68+20x^69+12x^70+18x^71+2x^72+2x^75

The gray image is a code over GF(2) with n=480, k=14 and d=220.
This code was found by Heurico 1.16 in 18.2 seconds.